If you are looking to keep it cheap, you should move during winter. Winter is when moving rates are the lowest.
If you are looking to keep it cheap, you should move over winter. Winter is when moving rates tend to be the lowest.
While this may seem like just another thing that’s added to your plate, make copies of all of the keys before you move. In all of the chaos of the move it would be easy to misplace a key, and that is the last thing you want to deal with on your moving day.